Pith Number

pith:SKZD4JZ2

pith:2020:SKZD4JZ2KGNKEVUPWIHXTWPHS5

not attested not anchored not stored refs pending

Expression of the Holtsmark function in terms of hypergeometric $_2F_2$ and Airy $\mathrm{Bi}$ functions

Jean-Christophe Pain

arxiv:2001.11893 v3 · 2020-01-30 · math-ph · astro-ph.GA · cs.GL · math.MP · physics.atom-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SKZD4JZ2KGNKEVUPWIHXTWPHS5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T07:59:44.897437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92b23e273a519aa2568fb20f79d9e7974848888865bdeb1f7e416370d2f09474

Aliases

arxiv: 2001.11893 · arxiv_version: 2001.11893v3 · doi: 10.48550/arxiv.2001.11893 · pith_short_12: SKZD4JZ2KGNK · pith_short_16: SKZD4JZ2KGNKEVUP · pith_short_8: SKZD4JZ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SKZD4JZ2KGNKEVUPWIHXTWPHS5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 92b23e273a519aa2568fb20f79d9e7974848888865bdeb1f7e416370d2f09474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eff5c9062b7260e24610a353105e0d91856779d2813a3717bddc56befb11bc6",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "cs.GL",
      "math.MP",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-01-30T15:15:59Z",
    "title_canon_sha256": "4b6ebea6aa67d17922597239b558c3155ebb225f9e33ed0d5b5c90ad0e0baccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.11893",
    "kind": "arxiv",
    "version": 3
  }
}